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Adaptive Sampling Trust Region Method for Bi-fidelity Simulation Optimization [SWR-25-166]

Adaptive Sampling Trust Region Method for Bi-fidelity Simulation Optimization aims to demonstrate the effect of adaptive sampling-based bi-fidelity stochastic trust region method (ASTRO-BFDF). ASTRO-BFDF, derived from a derivative-free adaptive sampling trust-region optimization (ASTRO-DF) (Shashaani et al. 2018, Ha and Shashaani 2023), intended to efficiently solve the bi-fidelity simulation optimization.

Mueller, Juliane [National Laboratory of the Rocki↗

Structural and phonon anomalies in the superconducting Bi 2 Sr 2 CaCu 2 O 8+σ with varying doping level at high pressures

Here we examined the effect of the lattice compression on the crystal structure of the Bi 2 Sr 2 CaCu 2 O 8+σ superconductor with nearly optimally doped and overdoped composition using X-ray diffraction technique. Our studies show that at high pressures (up to 30 GPa ) the doping level does not affect the crystal structure of this superconductor. Along with this, structural anomalies in ratio appear at a pressure that corresponds to that at which T c begins to decrease. This fact indicates a close connection between the observed anomalies and superconductivity. We also studied the effect of doping and pressure on the T c (P) and on the Raman active lattice modes of the Bi 2 Sr 2 CaCu 2 O 8+σ superconductors. We find universal suppression of the T c by the pressure starting from the critical pressure P c in the range from 9 to 16 GPa, depending on the doping level of the Bi 2 Sr 2 CaCu 2 O 8+σ samples. Concomitantly, we observe phonon anomalies around 10 to 20 GPa, which indicate possible pressure-induced charge redistribution in BiO layers. These newly detected anomalies may be related to the changes in the electronic structure which compete with the superconductivity.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Scoping studies for low-temperature melting ZnO–Bi 2 O 3 –(B 2 O 3 , SiO 2 ) binder glass

In this work, low melting point glass systems were explored as candidates for binders of solid oxide nuclear wastes which include volatile elements such as radioactive iodine. The base glass systems considered were ZnO-Bi 2 O 3 -B 2 O 3 and ZnO-Bi 2 O 3 -SiO 2 , with specific compositions selected for synthesis trials based on available phase diagrams and a desire to explore the whole glass-forming region. Ten compositions were synthesized by melt quenching. Promising candidate glass binders were selected based on absence of crystallization and favorable thermal properties, including low glass transition temperature (T g ) combined with a high crystallization onset temperature. These thermal properties indicate stable glass forming which would lead to sintering behavior needed for glass binding. Compositional effects include: higher Bi 2 O 3 content lead to lower Tg values, high ZnO content generally led to crystallization on quench, and high SiO 2 content resulted in requirements for excessively high melting temperature. 25ZnO-15Bi 2 O 3 -60B 2 O 3 was down-selected for some detailed crystallization versus time and temperature studies.

11 NUCLEAR FUEL CYCLE AND FUEL MATERIALS↗

Sputter deposition of Ta 1 W 1 Au 1 Bi 7 films for next generation hohlraums

Hohlraum simulation predicts a higher x-ray drive from Ta 1 W 1 Au 1 Bi 7 compared with our current Au hohlraum. Here, we study the effect of deposition process parameters including deposition rate, working pressure, target-to-substrate distance, substrate bias, and substrate temperature on the microstructure of Ta1W1Au1Bi7 films deposited by direct current magnetron sputtering onto planar substrates. We found that the substrate temperature has a pronounced effect on the film microstructure. This is attributed to the Bi low melting point (271°C) causing its adatom mobility to be strongly dependent on the substrate temperature. Additionally, we observed phase separation for films deposited with a high substrate bias. These results have important implications for the development of a robust Ta 1 W 1 Au 1 Bi 7 hohlraum fabrication process.

36 MATERIALS SCIENCE↗

Hybrid Simulation and Quasi-linear Theory of Bi-Kappa Proton Instabilities

The quasi-steady states of collisionless plasmas in space (e.g., in the solar wind and planetary environments) are governed by the interactions of charged particles with wave fluctuations. These interactions are responsible not only for the dissipation of plasma waves but also for their excitation. The present analysis focuses on two instabilities, mirror and electromagnetic ion cyclotron instabilities, associated with the same proton temperature anisotropy T ⊥ > T ∥ (where ⊥, ∥ are directions defined with respect to the local magnetic field vector). Theories relying on standard Maxwellian models fail to link these two instabilities (i.e., predicted thresholds) to the proton quasi-stable anisotropies measured in situ in a completely satisfactory manner. Here we revisit these instabilities by modeling protons with the generalized bi-Kappa (bi-κ power-law) distribution, and by a comparative analysis of a 2D hybrid simulation with the velocity-moment-based quasi-linear (QL) theory. It is shown that the two methods feature qualitative and, even to some extent, quantitative agreement. The reduced QL analysis based upon the assumption of a time-dependent bi-Kappa model thus becomes a valuable theoretical approach that can be incorporated into the present studies of solar wind dynamics.

79 ASTRONOMY AND ASTROPHYSICS↗

Search for Q ~0 Order near a Forbidden Bragg Position in Bi 2.1 Sr 1.9 CaCu 2 O 8+x with Resonant Soft X-ray Scattering

Identifying what broken symmetries are present in the cuprates has become a major area of research. Many authors have reported evidence for so-called “Q ~ 0” order that involves broken inversion, mirror, chiral, or time-reversal symmetry that is uniform in space. Not all these observations are well understood and new experimental probes are needed. Here we use resonant soft x-ray scattering (RSXS) to search for Q ~ 0 order in Bi 2.1 Sr 1.9 CaCu 2 O 8+x (Bi-2212) by measuring the region of a forbidden Bragg peak, (0,0,3), which is normally extinguished by symmetry but may become allowed on resonance if valence band order is present. Using circularly polarized light, we found that this reflection becomes allowed on the CuL 3 resonance for temperatures T c < T < T*, though remains absent in linear polarization and at other temperatures. This observation suggests the existence of spatially uniform valence band order near the pseudogap temperature. In addition, we observed periodic oscillations in the specular reflectivity from the sample surface that resemble thin film interference fringes, though no known film is present. These fringes are highly resonant, appear in all polarizations, and exhibit a period that depends on the location where the beam strikes the sample surface. We speculate that these fringes arise from interaction between some intrinsic valence band instability and extrinsic structural surface morphologies of the material. Our study supports the existence of some kind of Q ~ 0 broken symmetry state in Bi-2212 at intermediate temperatures. Further studies using a microfocused beam, which could disentangle microscopic effects from macroscopic heterogeneities, are needed to ascertain the universality of the effect.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the orthorhombic C222_1 space group. The structure is three-dimensional. Bi5+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.30–2.59 Å. There are five inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the fourth P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There is two shorter (1.51 Å) and two longer (1.60 Å) P–O bond length. In the fifth P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There is two shorter (1.51 Å) and two longer (1.60 Å) P–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P+4.75+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Bi5+ and one P+4.75+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi5+ and one P+4.75+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi5+ and one P+4.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Bi5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.28–2.41 Å. There are two inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one P+4.75+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent P+4.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two P+4.75+ atoms. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent P+4.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Bi5+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.36–2.57 Å. There are four inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two P+4.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P+4.75+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)3 by Materials Project

Bi(PO3)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Bi3+ is bonded to seven O2- atoms to form distorted BiO7 pentagonal bipyramids that share corners with seven PO4 tetrahedra and an edgeedge with one BiO7 pentagonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.27–2.81 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three equivalent BiO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent BiO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent BiO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Bi3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Bi3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. Bi5+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.35–2.58 Å. There are four inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the fourth P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two P+4.75+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P+4.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Bi5+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.36–2.48 Å. There are two inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P+4.75+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi(W2Cl5)3 by Materials Project

Bi(W2Cl5)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are six inequivalent W2+ sites. In the first W2+ site, W2+ is bonded to five Cl1- atoms to form edge-sharing WCl5 square pyramids. There are a spread of W–Cl bond distances ranging from 2.45–2.52 Å. In the second W2+ site, W2+ is bonded to five Cl1- atoms to form edge-sharing WCl5 square pyramids. There are a spread of W–Cl bond distances ranging from 2.48–2.52 Å. In the third W2+ site, W2+ is bonded to five Cl1- atoms to form edge-sharing WCl5 square pyramids. There are a spread of W–Cl bond distances ranging from 2.50–2.52 Å. In the fourth W2+ site, W2+ is bonded to five Cl1- atoms to form edge-sharing WCl5 square pyramids. There are a spread of W–Cl bond distances ranging from 2.48–2.52 Å. In the fifth W2+ site, W2+ is bonded to five Cl1- atoms to form edge-sharing WCl5 square pyramids. There are a spread of W–Cl bond distances ranging from 2.50–2.52 Å. In the sixth W2+ site, W2+ is bonded to five Cl1- atoms to form edge-sharing WCl5 square pyramids. There are a spread of W–Cl bond distances ranging from 2.49–2.51 Å. Bi3+ is bonded in a 7-coordinate geometry to seven Cl1- atoms. There are a spread of Bi–Cl bond distances ranging from 2.52–3.20 Å. There are fifteen inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to one W2+ and one Bi3+ atom. In the second Cl1- site, Cl1- is bonded in a 4-coordinate geometry to three W2+ atoms. In the third Cl1- site, Cl1- is bonded in a 4-coordinate geometry to three W2+ atoms. In the fourth Cl1- site, Cl1- is bonded in a 1-coordinate geometry to one W2+ and one Bi3+ atom. In the fifth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three W2+ atoms. In the sixth Cl1- site, Cl1- is bonded in a distorted bent 150 degrees geometry to one W2+ and one Bi3+ atom. In the seventh Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one W2+ and one Bi3+ atom. In the eighth Cl1- site, Cl1- is bonded in a single-bond geometry to one Bi3+ atom. In the ninth Cl1- site, Cl1- is bonded in a 4-coordinate geometry to three W2+ atoms. In the tenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three W2+ atoms. In the eleventh Cl1- site, Cl1- is bonded in a 12-coordinate geometry to three W2+ atoms. In the twelfth Cl1- site, Cl1- is bonded in a bent 120 degrees geometry to one W2+ and one Bi3+ atom. In the thirteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three W2+ atoms. In the fourteenth Cl1- site, Cl1- is bonded in a 4-coordinate geometry to three W2+ atoms. In the fifteenth Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to one W2+ and one Bi3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Bi5+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Bi–O bond distances ranging from 2.36–2.52 Å. There are four inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the third P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form corner-sharing PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P+4.75+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi(Mo2Cl5)3 by Materials Project

Bi(Mo2Cl5)3 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are six inequivalent Mo2+ sites. In the first Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are a spread of Mo–Cl bond distances ranging from 2.47–2.49 Å. In the second Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are a spread of Mo–Cl bond distances ranging from 2.45–2.49 Å. In the third Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are a spread of Mo–Cl bond distances ranging from 2.48–2.53 Å. In the fourth Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are a spread of Mo–Cl bond distances ranging from 2.48–2.53 Å. In the fifth Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are a spread of Mo–Cl bond distances ranging from 2.48–2.50 Å. In the sixth Mo2+ site, Mo2+ is bonded to five Cl1- atoms to form edge-sharing MoCl5 square pyramids. There are three shorter (2.48 Å) and two longer (2.49 Å) Mo–Cl bond lengths. Bi3+ is bonded in a 7-coordinate geometry to seven Cl1- atoms. There are a spread of Bi–Cl bond distances ranging from 2.52–3.19 Å. There are fifteen inequivalent Cl1- sites. In the first Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the second Cl1- site, Cl1- is bonded in a 2-coordinate geometry to one Mo2+ and one Bi3+ atom. In the third Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the fourth Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to one Mo2+ and one Bi3+ atom. In the fifth Cl1- site, Cl1- is bonded in a 4-coordinate geometry to three Mo2+ atoms. In the sixth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the seventh Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the eighth Cl1- site, Cl1- is bonded in a 4-coordinate geometry to three Mo2+ atoms. In the ninth Cl1- site, Cl1- is bonded in a 1-coordinate geometry to one Mo2+ and one Bi3+ atom. In the tenth Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to one Mo2+ and one Bi3+ atom. In the eleventh Cl1- site, Cl1- is bonded in a bent 120 degrees geometry to one Mo2+ and one Bi3+ atom. In the twelfth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Mo2+ atoms. In the thirteenth Cl1- site, Cl1- is bonded in a single-bond geometry to one Bi3+ atom. In the fourteenth Cl1- site, Cl1- is bonded in a distorted bent 120 degrees geometry to one Mo2+ and one Bi3+ atom. In the fifteenth Cl1- site, Cl1- is bonded in a 3-coordinate geometry to three Mo2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Bi5+ is bonded to seven O2- atoms to form distorted BiO7 pentagonal bipyramids that share corners with seven PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.31–2.57 Å. There are four inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent BiO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent BiO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the third P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BiO7 pentagonal bipyramid and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fourth P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent BiO7 pentagonal bipyramids and corners with two PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one P+4.75+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P+4.75+ atoms. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P+4.75+ atoms. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi(PO3)4 by Materials Project

Bi(PO3)4 crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. Bi5+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Bi–O bond distances ranging from 2.24–2.38 Å. There are two inequivalent P+4.75+ sites. In the first P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent BiO6 octahedra and corners with two equivalent PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–51°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. In the second P+4.75+ site, P+4.75+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BiO6 octahedra and corners with two equivalent PO4 tetrahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two P+4.75+ atoms. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Bi5+ and one P+4.75+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one Bi5+ and one P+4.75+ atom. In the fourth O2- site, O2- is bonded in a single-bond geometry to one P+4.75+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P+4.75+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Bi5+ and one P+4.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Bi(WBr3)3 by Materials Project

Bi(WBr3)3 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent W2+ sites. In the first W2+ site, W2+ is bonded to five Br1- atoms to form WBr5 square pyramids that share a cornercorner with one BiBr6 octahedra and edges with four WBr5 square pyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of W–Br bond distances ranging from 2.62–2.68 Å. In the second W2+ site, W2+ is bonded to five Br1- atoms to form WBr5 square pyramids that share a cornercorner with one BiBr6 octahedra and edges with four WBr5 square pyramids. The corner-sharing octahedral tilt angles are 43°. There are one shorter (2.64 Å) and four longer (2.65 Å) W–Br bond lengths. In the third W2+ site, W2+ is bonded to five Br1- atoms to form WBr5 square pyramids that share a cornercorner with one BiBr6 octahedra and edges with four WBr5 square pyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of W–Br bond distances ranging from 2.63–2.68 Å. Bi3+ is bonded to six Br1- atoms to form distorted BiBr6 octahedra that share corners with three WBr5 square pyramids and an edgeedge with one BiBr6 octahedra. There are a spread of Bi–Br bond distances ranging from 2.66–3.28 Å. There are nine inequivalent Br1- sites. In the first Br1- site, Br1- is bonded in a bent 120 degrees geometry to one W2+ and one Bi3+ atom. In the second Br1- site, Br1- is bonded in a 2-coordinate geometry to one W2+ and one Bi3+ atom. In the third Br1- site, Br1- is bonded in a bent 120 degrees geometry to one W2+ and one Bi3+ atom. In the fourth Br1- site, Br1- is bonded in a distorted water-like geometry to two equivalent Bi3+ atoms. In the fifth Br1- site, Br1- is bonded in a 9-coordinate geometry to three W2+ atoms. In the sixth Br1- site, Br1- is bonded in a single-bond geometry to one Bi3+ atom. In the seventh Br1- site, Br1- is bonded in a 5-coordinate geometry to three W2+ atoms. In the eighth Br1- site, Br1- is bonded in a 8-coordinate geometry to three W2+ atoms. In the ninth Br1- site, Br1- is bonded in a 9-coordinate geometry to three W2+ atoms.

36 MATERIALS SCIENCE↗